MinT - Best Known (61−54, 61, s)-Nets in Base 64

Best Known (61−54, 61, s)-Nets in Base 64

(61−54, 61, 177)-Net over F₆₄ — Constructive and digital

Digital (7, 61, 177)-net over F₆₄, using

net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [i]

(61−54, 61, 2074)-Net in Base 64 — Upper bound on s

There is no (7, 61, 2075)-net in base 64, because

the generalized Rao bound for nets shows that 64^mÂ â‰¥ 151 441618 415313 763105 944712 945234 028034 037213 207911 540932 954664 460062 133232 105441 708460 559459 016173 400808 099520 > 64⁶¹ [i]